w-4(4-w)=-2(2w-1)

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Solution for w-4(4-w)=-2(2w-1) equation:


Simplifying
w + -4(4 + -1w) = -2(2w + -1)
w + (4 * -4 + -1w * -4) = -2(2w + -1)
w + (-16 + 4w) = -2(2w + -1)

Reorder the terms:
-16 + w + 4w = -2(2w + -1)

Combine like terms: w + 4w = 5w
-16 + 5w = -2(2w + -1)

Reorder the terms:
-16 + 5w = -2(-1 + 2w)
-16 + 5w = (-1 * -2 + 2w * -2)
-16 + 5w = (2 + -4w)

Solving
-16 + 5w = 2 + -4w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '4w' to each side of the equation.
-16 + 5w + 4w = 2 + -4w + 4w

Combine like terms: 5w + 4w = 9w
-16 + 9w = 2 + -4w + 4w

Combine like terms: -4w + 4w = 0
-16 + 9w = 2 + 0
-16 + 9w = 2

Add '16' to each side of the equation.
-16 + 16 + 9w = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 9w = 2 + 16
9w = 2 + 16

Combine like terms: 2 + 16 = 18
9w = 18

Divide each side by '9'.
w = 2

Simplifying
w = 2

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